and Applied Analysis 3 Proposition 1.7 see 6 . Let X,G be a G-metric space. Then the followings are equivalent. 1 The sequence {xn} is G-Cauchy; 2 For every > 0, there exists k ∈ N such that G xn, xm, xm < , for all n,m ≥ k. Proposition 1.8 see 6 . Let X,G be a G-metric space. Then the function G x, y, z is jointly continuous in all three of its variables. Definition 1.9 see 6 . Let X,G and X′,...

* Correspondence: radens@beotel. net Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, Beograd 11120, Serbia Full list of author information is available at the end of the article Abstract We introduce ordered quasicontractions and g-quasicontractions in partially ordered metric spaces and prove the respective coincidence point and (common) fixed point results. An e...